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3407574690 = 2335131757107
BaseRepresentation
bin1100101100011011…
…0111011010100010
322210110221201201000
43023012313122202
523434314342230
61322044052430
7150304623042
oct31306673242
98713851630
103407574690
11149953a333
127b1234116
13423c787b0
142447bd722
1514e251b60
hexcb1b76a2

3407574690 has 128 divisors (see below), whose sum is σ = 10361675520. Its totient is φ = 789433344.

The previous prime is 3407574671. The next prime is 3407574701. The reversal of 3407574690 is 964757043.

It is a super-2 number, since 2×34075746902 = 23223130535857192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31117 + ... + 88223.

It is an arithmetic number, because the mean of its divisors is an integer number (80950590).

Almost surely, 23407574690 is an apocalyptic number.

3407574690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407574690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180837760).

3407574690 is an abundant number, since it is smaller than the sum of its proper divisors (6954100830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3407574690 is a wasteful number, since it uses less digits than its factorization.

3407574690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57153 (or 57147 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3407574690 is about 58374.4352435208. The cubic root of 3407574690 is about 1504.8104366418.

The spelling of 3407574690 in words is "three billion, four hundred seven million, five hundred seventy-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 1105 1170 1326 1530 1755 1989 2210 2295 3315 3510 3978 4590 5967 6630 9945 11934 19890 29835 57107 59670 114214 171321 285535 342642 513963 571070 742391 856605 970819 1027926 1484782 1541889 1713210 1941638 2227173 2569815 2912457 3083778 3711955 4454346 4854095 5139630 5824914 6681519 7423910 7709445 8737371 9708190 11135865 12620647 13363038 14562285 15418890 17474742 20044557 22271730 25241294 26212113 29124570 33407595 37861941 40089114 43686855 52424226 63103235 66815190 75723882 87373710 100222785 113585823 126206470 131060565 189309705 200445570 227171646 262121130 340757469 378619410 567929115 681514938 1135858230 1703787345 3407574690